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What is the Least Common Multiple of 82153 and 82167?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 82153 and 82167 is 6750265551.

LCM(82153,82167) = 6750265551

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Least Common Multiple of 82153 and 82167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82153 and 82167, than apply into the LCM equation.

GCF(82153,82167) = 1
LCM(82153,82167) = ( 82153 × 82167) / 1
LCM(82153,82167) = 6750265551 / 1
LCM(82153,82167) = 6750265551

Least Common Multiple (LCM) of 82153 and 82167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82153 and 82167. First we will calculate the prime factors of 82153 and 82167.

Prime Factorization of 82153

Prime factors of 82153 are 82153. Prime factorization of 82153 in exponential form is:

82153 = 821531

Prime Factorization of 82167

Prime factors of 82167 are 3, 61, 449. Prime factorization of 82167 in exponential form is:

82167 = 31 × 611 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 82153 and 82167.

LCM(82153,82167) = 821531 × 31 × 611 × 4491
LCM(82153,82167) = 6750265551